Least Common Multiple of 773 and 774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 773 and 774 the smallest integer that is 598302 that is divisible by both numbers.

Least Common Multiple (LCM) of 773 and 774 is 598302.

LCM(773,774) = 598302

LCM of 773 and 774

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 773 and 774

LCM of 773 and 774 is 598302

Least common multiple can be found by multiplying the highest exponent prime factors of 773 and 774. First we will calculate the prime factors of 773 and 774.

Prime Factorization of 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

Prime Factorization of 774


2 774
3 387
3 129
43 43
1

Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:

774 = 21×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 773 and 774.

LCM(773,774) = 21×32×431×7731
LCM(773,774) = 598302

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Least Common Multiple of 773 and 774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 773 and 774, than apply into the LCM equation.

GCF(773,774) = 1
LCM(773,774) = ( 773 × 774) / 1
LCM(773,774) = 598302 / 1
LCM(773,774) = 598302

Properties of LCM 773 and 774

(i) The LCM of 774 and 773 is associative

LCM of 773 and 774 = LCM of 774 and 773

Related Least Common Multiples of 773

Related Least Common Multiples of 774

Frequently Asked Questions on LCM of 773 and 774

1. What is the LCM of 773 and 774?

Answer: LCM of 773 and 774 is 598302.

2. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

3. What are the Factors of 774?

Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.

4. How to Find the LCM of 773 and 774?

Answer:

Least Common Multiple of 773 and 774 = 598302

Step 1: Find the prime factorization of 773

773 = 773

Step 2: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 598302 = 2 x 3 x 3 x 43 x 773

Step 4: Therefore, the least common multiple of 773 and 774 is 598302.